14223985606656 has 1330 divisors, whose sum is σ = 51363231375712. Its totient is φ = 3932899246080.

The previous prime is 14223985606603. The next prime is 14223985606711. The reversal of 14223985606656 is 65660658932241.

14223985606656 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 3 + 9 + 8 + 560 + 6 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 14223985606593 and 14223985606602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 458838245361 + ... + 458838245391.

Almost surely, 2^{14223985606656} is an apocalyptic number.

14223985606656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14223985606656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25681615687856).

14223985606656 is an abundant number, since it is smaller than the sum of its proper divisors (37139245769056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14223985606656 is an frugal number, since it uses more digits than its factorization.

14223985606656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 14223985606656 in words is "fourteen trillion, two hundred twenty-three billion, nine hundred eighty-five million, six hundred six thousand, six hundred fifty-six".